{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Matplotlib\n",
    "\n",
    "Matplotlib是Python中最常用的可视化工具之一，可以非常方便地创建海量类型2D图表和一些基本的3D图表。Matplotlib最早是为了可视化癫痫病人的脑皮层电图相关的信号而研发，因为在函数的设计上参考了MATLAB，所以叫做Matplotlib。Matplotlib首次发表于2007年，在开源和社区的推动下，现在在基于Python的各个科学计算领域都得到了广泛应用。Matplotlib的原作者John D. Hunter博士是一名神经生物学家，2012年不幸因癌症去世，感谢他创建了这样一个伟大的库。\n",
    "\n",
    "## 图表展示\n",
    "\n",
    "Matplotlib非常强大，不过在深度学习中常用的其实只有很基础的一些功能。这里以机器学习中的梯度下降法来展示其图表功能。首先先假设现在需要求解目标函数func(x) = x * x的极小值，由于func是一个凸函数，因此它唯一的极小值同时也是它的最小值，其一阶导函数为dfunc(x) = 2 * x。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "# 目标函数:y=x^2\n",
    "def func(x):\n",
    "    return np.square(x)\n",
    "\n",
    "\n",
    "# 目标函数一阶导数也即是偏导数:dy/dx=2*x\n",
    "def dfunc(x):\n",
    "    return 2 * x\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "接下来实现梯度下降法功能函数GD():"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "def GD(x_start, df, epochs, lr):\n",
    "    \"\"\"\n",
    "    梯度下降法。给定起始点与目标函数的一阶导函数，求在epochs次迭代中x的更新值\n",
    "    :x_start: x的起始点\n",
    "    :df: 目标函数的一阶导函数\n",
    "    :epochs: 迭代周期\n",
    "    :lr: 学习率\n",
    "    : x在每次迭代后的位置（包括起始点），长度为epochs+1\n",
    "    \"\"\"\n",
    "    xs = np.zeros(epochs+1)\n",
    "    x = x_start\n",
    "    xs[0] = x\n",
    "    for i in range(epochs):\n",
    "        dx = df(x)\n",
    "        # v表示x要改变的幅度\n",
    "        v = - dx * lr\n",
    "        x += v\n",
    "        xs[i+1] = x\n",
    "    return xs"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "在Plot()函数中，具体用matplotlib实现了展示梯度下降法搜索最优解的过程："
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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PanGaH5pwZcQSejZ16KBHjA4enMENMTFaxrhpE7z4YkhjM8ZkbutWbeVx77261d+vLKFn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\n/wMW48FCJltJNQAAAABJRU5ErkJggg==\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10c7861d0>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "def Plot():\n",
    "    # 利用matplotlib绘制图像\n",
    "    line_x = np.linspace(-5, 5, 100)\n",
    "    line_y = func(line_x)\n",
    "\n",
    "    x_start = -5\n",
    "    epochs = 5\n",
    "\n",
    "    lr = 0.3\n",
    "    x = GD(x_start, dfunc, epochs, lr=lr)\n",
    "\n",
    "    color = 'r'\n",
    "    # plot实现绘制的主功能\n",
    "    plt.plot(line_x, line_y, c='b')\n",
    "    plt.plot(x, func(x), c=color, label='lr={}'.format(lr))\n",
    "    plt.scatter(x, func(x), c=color, )\n",
    "    # legend函数显示图例\n",
    "    plt.legend()\n",
    "    # show函数显示\n",
    "    plt.show()\n",
    "Plot()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这个例子中展示了如何利用梯度下降法寻找x2的极小值，起始检索点为x=-5，学习率为0.5，最终绘制的图像如下图所示，图中红线为检索过程，红点为每次更新的x值所在的点。利用matplotlib还能绘制其他多种多样的图像的绘制，具体实现请参考[matplotlib](http://matplotlib.org/)官方文档。\n",
    "\n",
    "## 图像显示\n",
    "\n",
    "Matplotlib也支持图像的存取和显示，并且和OpenCV一类的接口比起来，对于一般的二维矩阵的可视化要方便很多，这一点在机器学习中体现的极为方便，来看例子:"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 16,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.image.AxesImage at 0x10d360828>"
      ]
     },
     "execution_count": 16,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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XLEgqmjUXs9UVtDsytFxRgRyd3jsqydJXevtpN1ZJEdd3BiVl18nMxR0csDcpiy463bBI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g7UNnt3YXGlojSbMFtAfpzf1K8Trb5pbeBOABpXQH4lSK5Ug7Z2mph3rmuoa5f1iMo6/Uu3q1mI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R0kzgTR1+4xHSoYTHzxqdA849JMlA4KLmnYSvrkS1An0DzRJ93FPaJXJesha3zHHPnOA43DEO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\nPaYZa4GY8EKGp0BT/e6vYtA6mrg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6uCEMR9ahZ1LDilJaXeACI7URCbN/jpqxvYzsck+N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\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x10cd78a90>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import matplotlib.pyplot as plt\n",
    "\n",
    "\n",
    "# 读取一张小白狗的照片并显示\n",
    "plt.figure('A Little White Dog')\n",
    "little_dog_img = plt.imread('little_white_dog.jpg')\n",
    "plt.imshow(little_dog_img)\n"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "这里只讲到了最基本和常用的图表及最简单的例子，更多有趣精美的例子可以在Matplotlib的官网找到：\n",
    "[Thumbnail gallery - Matplotlib 1.5.3 documentation](http://matplotlib.org/gallery.html)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.1"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
